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Finding the Fourth Proportional to 9,102.36, 12,570.44 and 6,860.64

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Solution

The fourth proportional to 9,102.36, 12,570.44 and 6,860.64 is: 9,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.36 : 12,570.44 = 6,860.64 : x
  2. Step 2: Convert to fraction form
    9,102.36/12,570.44 = 6,860.64/x
  3. Step 3: Cross multiply
    9,102.36x = 12,570.44 × 6,860.64
  4. Step 4: Simplify right side
    9,102.36x = 86,241,263.48
  5. Step 5: Solve for x
    x = 86,241,263.48/9,102.36
  6. Step 6: Final answer
    x = 9,474.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.